[Some content previously available at https://fulguritics.blogspot.com/2018/06/blog-post.html, https://fulguritics.blogspot.com/2018/11/ligo-single-detector-trigger-rate-for.html]
Extreme conservation of normalized (ratio) constants for multiple [bound] degrees of freedom has been demonstrated throughout LIGO-Virgo parameter space [inclusive of unknown systematics] throughout controlled analysis. Such values are ambiguous due to their appearance as artifacts in the mismatch error in aliased/cosine-misaligned measurement, while being common to open Hamiltonian systems and quasiperiodic lattices.
1. ∽0.56 neutron lifetime:AU Larmor correspondence and monodromic scale invariance
Correspondence of minimum spin bound to path length|gyroradius, propagation rate, lifetime invariance of solar free neutrons, through β−decay involved in proton precipitation (proton flares and sudden increases in solar wind proton density/pressure are involved in all LIGO-Virgo heliospheric-magnetospheric regimes, for both prompt and interval-bound coincident foreground interactions):
for mean AU, all neutron v[n0τ|AU]:c=0.566085,
min AU, all neutron v[n0τ|AU]:c=0.551594,
max AU, all neutron v[n0τ|AU]:c=0.577996,
(cf. (31/2)-1=0.57735, π/2e=0.577864, γ=0.577216 [Euler-Mascheroni])
1/(✓(1+✓2))+d(v[n0τ|AU(min,max)]:c)=0.580176.
1. (✓(1+✓2)-1)=0.553774,
2. 1/(r*π)=r, r=0.5641896
3. (32)/(42)= 0.5625, 7(3,4)
4. 4/7=0.57142857142
5. 3/7=0.42857142857
6. 1-r=0.43581, r+((1/(2φ^(1/3))=0.42589)=0.9900796, γ|0.9900796c=7.117
[cf. experimental neutron mean lifetime correction below, v[n0τ]|γ=1/7 c
((1/7)-((7.117*2)/100))≈1,
((1/7)-((7.117*2)/100))/(1/α)=3.7737737557E-06]
which had been correlated with a strong lower spin bound for specific [model-dependent degenetrate] LIGO event parameters:
Neutron mean lifetime Larmor:=1AU; neutron acceleration and decay shows curvature-aligned stability, which is scale-invariant; topological rigidity in Parker spiral field-restricted correlation between solar source and interplanetary plasma is demonstrated at critical points, their orbital-differential coupling with or without CME and shock interactions from co-moving systems also correlated with highest probability triggering for magnetospheric accelerated electrons, proton flares and sustained quasiperiodic substorm reconnection phases in long-range potentials showing large-scale coherence, given exact orbital distance of Earth from sun|barycentric perturbations (correlated to quasiperiodic magnetospheric behavior/LVC events):
This effect on many scales has been observed elsewhere:
https://link.springer.com/article/10.1007/BF00754509
https://www.aanda.org/articles/aa/full/2007/34/aa6966-06/aa6966-06.right.html
https://www.aanda.org/articles/aa/pdf/2007/34/aa6966-06.pdf
https://www.swsc-journal.org/articles/swsc/full_html/2018/01/swsc170051/swsc170051.html
https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2001JA000099
https://www.nist.gov/news-events/news/2014/02/toward-new-precision-measuring-neutron-lifetime
Experimental context Lorentz corrections for Beam, Bottle free neutron mean decay measurements, with new measurments https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.222501
[cf. 1-r=0.43581, r+((1/(2φ^(1/3))=0.42589)=0.9900796, γ|0.9900796c=7.117
experimental neutron mean lifetime corrections below, v[n0τ]|γ=1/7 c,
((1/7)-((7.117*2)/100))≈1,
((1/7)-((7.117*2)/100))/(1/α)=3.7737737557E-06;
(32)/(42)= 0.5625, 7(3,4)
4/7=0.57142857142
3/7=0.42857142857]
https://twitter.com/Fulguritics/status/1265448619538169857
https://fulguritics.blogspot.com/2020/06/anita-bsm-upward-shower-solar.html
ANITA upward cosmic ray-like showers and further motif-normalization correspondence to lower spin bound:
2. ∽0.43
Constant motifs such as 0.56|56, show subset property identity to recurring base ten constant 0.43 [cf. 24, 2.4, etc.]
https://twitter.com/Fulguritics/status/1261478113944367104
𝑁=56 non-retracted, 𝑁=24 retracted O3 LIGO-Virgo superevents (O3 April 1, 2019 through March 27, 2020 https://www.ligo.caltech.edu/news/ligo20200326) 1/(56/24)≈0.43≃(1/(2φ^(1/3))=0.42589...)
3/7=0.42857142857
For FRB 121102,
157 day cycle
Active Phase 90 days, silent phase 67 days: (90/67)^φ≈φ, φ≃1.61803...
Extreme conservation of normalized (ratio) constants for multiple [bound] degrees of freedom has been demonstrated throughout LIGO-Virgo parameter space [inclusive of unknown systematics] throughout controlled analysis. Such values are ambiguous due to their appearance as artifacts in the mismatch error in aliased/cosine-misaligned measurement, while being common to open Hamiltonian systems and quasiperiodic lattices.
1. ∽0.56 neutron lifetime:AU Larmor correspondence and monodromic scale invariance
Correspondence of minimum spin bound to path length|gyroradius, propagation rate, lifetime invariance of solar free neutrons, through β−decay involved in proton precipitation (proton flares and sudden increases in solar wind proton density/pressure are involved in all LIGO-Virgo heliospheric-magnetospheric regimes, for both prompt and interval-bound coincident foreground interactions):
for mean AU, all neutron v[n0τ|AU]:c=0.566085,
min AU, all neutron v[n0τ|AU]:c=0.551594,
max AU, all neutron v[n0τ|AU]:c=0.577996,
(cf. (31/2)-1=0.57735, π/2e=0.577864, γ=0.577216 [Euler-Mascheroni])
1/(✓(1+✓2))+d(v[n0τ|AU(min,max)]:c)=0.580176.
1. (✓(1+✓2)-1)=0.553774,
2. 1/(r*π)=r, r=0.5641896
3. (32)/(42)= 0.5625, 7(3,4)
4. 4/7=0.57142857142
5. 3/7=0.42857142857
6. 1-r=0.43581, r+((1/(2φ^(1/3))=0.42589)=0.9900796, γ|0.9900796c=7.117
[cf. experimental neutron mean lifetime correction below, v[n0τ]|γ=1/7 c
((1/7)-((7.117*2)/100))≈1,
((1/7)-((7.117*2)/100))/(1/α)=3.7737737557E-06]
which had been correlated with a strong lower spin bound for specific [model-dependent degenetrate] LIGO event parameters:
Neutron mean lifetime Larmor:=1AU; neutron acceleration and decay shows curvature-aligned stability, which is scale-invariant; topological rigidity in Parker spiral field-restricted correlation between solar source and interplanetary plasma is demonstrated at critical points, their orbital-differential coupling with or without CME and shock interactions from co-moving systems also correlated with highest probability triggering for magnetospheric accelerated electrons, proton flares and sustained quasiperiodic substorm reconnection phases in long-range potentials showing large-scale coherence, given exact orbital distance of Earth from sun|barycentric perturbations (correlated to quasiperiodic magnetospheric behavior/LVC events):
This effect on many scales has been observed elsewhere:
https://link.springer.com/article/10.1007/BF00754509
https://www.aanda.org/articles/aa/full/2007/34/aa6966-06/aa6966-06.right.html
https://www.aanda.org/articles/aa/pdf/2007/34/aa6966-06.pdf
https://www.swsc-journal.org/articles/swsc/full_html/2018/01/swsc170051/swsc170051.html
https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2001JA000099
https://www.nist.gov/news-events/news/2014/02/toward-new-precision-measuring-neutron-lifetime
Experimental context Lorentz corrections for Beam, Bottle free neutron mean decay measurements, with new measurments https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.222501
[cf. 1-r=0.43581, r+((1/(2φ^(1/3))=0.42589)=0.9900796, γ|0.9900796c=7.117
experimental neutron mean lifetime corrections below, v[n0τ]|γ=1/7 c,
((1/7)-((7.117*2)/100))≈1,
((1/7)-((7.117*2)/100))/(1/α)=3.7737737557E-06;
(32)/(42)= 0.5625, 7(3,4)
4/7=0.57142857142
3/7=0.42857142857]
https://twitter.com/Fulguritics/status/1265448619538169857
https://fulguritics.blogspot.com/2020/06/anita-bsm-upward-shower-solar.html
ANITA upward cosmic ray-like showers and further motif-normalization correspondence to lower spin bound:
2. ∽0.43
Constant motifs such as 0.56|56, show subset property identity to recurring base ten constant 0.43 [cf. 24, 2.4, etc.]
https://twitter.com/Fulguritics/status/1261478113944367104
𝑁=56 non-retracted, 𝑁=24 retracted O3 LIGO-Virgo superevents (O3 April 1, 2019 through March 27, 2020 https://www.ligo.caltech.edu/news/ligo20200326) 1/(56/24)≈0.43≃(1/(2φ^(1/3))=0.42589...)
3/7=0.42857142857
For FRB 121102,
157 day cycle
Active Phase 90 days, silent phase 67 days: (90/67)^φ≈φ, φ≃1.61803...
((π/2)*100)/365.25=0.430061
For
A. Cai-Clauer 2013 solar cycle 23 sawtooth event list (annual) max N=19, mid[mean, max]=15, mean N=11
https://agupubs.onlinelibrary.wiley.com/doi/full/10.1002/2013JA018819 B. O1-O2 events: Nitz et al 2018 N=11, Nitz et al 2020 N=15
https://iopscience.iop.org/article/10.3847/1538-4357/ab733f/meta C. O3: N=56 confident, N=24 retracted LIGO-Virgo triggers 19*3:≃O3 confident events 24/15=1.6≈φ
(24/19)^2≈1.6≈φ
O1+O2 duty cycle, two simultaneous stations, total observations days: 155.8 days
155.8/365.25=0.4265575≃(1/(2φ^(1/3))=0.4258998).
https://fulguritics.blogspot.com/2018/11/ligo-single-detector-trigger-rate-for.html
Spectral partitioning for histogram phase space of LIGO-Virgo O3 superevents:
DCT_non-retracted[(130-62)/𝐾]≈DCT_retracted[(129-60)/𝐾]≈0.43, 𝐾=160
a=RE=6356 km; fn=(c/2πa)*√n(n+1), for nth Schumann resonance modes
https://www.degruyter.com/downloadpdf/j/zna.1952.7.issue-2/zna-1952-0202/zna-1952-0202.pdf
(cf.[(v=0.71 c=√2/2=1/√2)*(γ=1.414...=√2)]=1, v|γ=[v=1/✓2≡0.70710678118]|[γ[✓2] ≡1.41421356237);
Precision non-empirical Schumann peaks: v|c:≈0.43, r=1/(2φ^(1/3))=0.42589... f0=(rc/(2πRE)) fn=(rc/(2πRE))√(n(n+1)), for n2,n4,...
√2, √3 interband scaling from Schumann formula [1952],
0.88 c as mean value for global lightning-induced ELF propagation velocity (applied from Schumann resonance transients and the search for gravitational waves):
https://fulguritics.blogspot.com/2018/06/blog-post.html
[equivalent formula ln(1+√2)=0.88137358702]
1/√(0.88*0.56)≈√2
2-(0.88*0.43)≈φ
(1/√(0.88*0.56))/(2-(0.88*0.43))=0.87845782298,
√2/φ=0.87403204889,
0.87845782298/2=0.43922891149,
0.87403204889/2=0.43701602444.
0.89 estimated GW170817 spin [equivalent formula (1/√2)1/3= 0.89089871814, 8/9=0.888889]
A. Cai-Clauer 2013 solar cycle 23 sawtooth event list (annual) max N=19, mid[mean, max]=15, mean N=11
https://agupubs.onlinelibrary.wiley.com/doi/full/10.1002/2013JA018819 B. O1-O2 events: Nitz et al 2018 N=11, Nitz et al 2020 N=15
https://iopscience.iop.org/article/10.3847/1538-4357/ab733f/meta C. O3: N=56 confident, N=24 retracted LIGO-Virgo triggers 19*3:≃O3 confident events 24/15=1.6≈φ
(24/19)^2≈1.6≈φ
O1+O2 duty cycle, two simultaneous stations, total observations days: 155.8 days
155.8/365.25=0.4265575≃(1/(2φ^(1/3))=0.4258998).
https://fulguritics.blogspot.com/2018/11/ligo-single-detector-trigger-rate-for.html
Spectral partitioning for histogram phase space of LIGO-Virgo O3 superevents:
DCT_non-retracted[(130-62)/𝐾]≈DCT_retracted[(129-60)/𝐾]≈0.43, 𝐾=160
Virgo events, in this case with retractions and non-retractions combined as a population. Strong integer-irrational scaling precludes LIGO claims of uncorrelated events.
https://www.degruyter.com/downloadpdf/j/zna.1952.7.issue-2/zna-1952-0202/zna-1952-0202.pdf
(cf.[(v=0.71 c=√2/2=1/√2)*(γ=1.414...=√2)]=1, v|γ=[v=1/✓2≡0.70710678118]|[γ[✓2] ≡1.41421356237);
Precision non-empirical Schumann peaks: v|c:≈0.43, r=1/(2φ^(1/3))=0.42589... f0=(rc/(2πRE)) fn=(rc/(2πRE))√(n(n+1)), for n2,n4,...
√2, √3 interband scaling from Schumann formula [1952],
0.88 c as mean value for global lightning-induced ELF propagation velocity (applied from Schumann resonance transients and the search for gravitational waves):
https://fulguritics.blogspot.com/2018/06/blog-post.html
[equivalent formula ln(1+√2)=0.88137358702]
1/√(0.88*0.56)≈√2
2-(0.88*0.43)≈φ
(1/√(0.88*0.56))/(2-(0.88*0.43))=0.87845782298,
√2/φ=0.87403204889,
0.87845782298/2=0.43922891149,
0.87403204889/2=0.43701602444.
0.89 estimated GW170817 spin [equivalent formula (1/√2)1/3= 0.89089871814, 8/9=0.888889]
GW150914 BH maximum remnant spin range, 0.57-0.72 c
LIGO GW150914 remnant ringdown freq, ~250 Hz
LIGO GW150914 frequency/wavelength for peak strain, 150 Hz/2000 km
GW150914 0.2 s duration, event cycle wavelength 40172 km at 0.67 c, 7.5 Hz|v≅0.67 c (7.5 Hz approx. ideal fundamental Schumann mode at Earth radius 6356 km, 0.67 remnant spin mean, with respect to c, for all LIGO-Virgo sources); 5 Hz|v=c, 59958 km|0.2 s
GW150914 L1-H1 arrival lag, ~0.0069 s
Lorentz factor, γ=1/(√(1-(v2/c2))
group velocity, vg
(0.0069*c)=2068.6 km, (0.0069*[0.67*c])=1385.9 km
c/((0.0069*c)*0.58)=249.88 Hz;
LIGO GW150914 remnant ringdown freq, ~250 Hz
LIGO GW150914 frequency/wavelength for peak strain, 150 Hz/2000 km
GW150914 0.2 s duration, event cycle wavelength 40172 km at 0.67 c, 7.5 Hz|v≅0.67 c (7.5 Hz approx. ideal fundamental Schumann mode at Earth radius 6356 km, 0.67 remnant spin mean, with respect to c, for all LIGO-Virgo sources); 5 Hz|v=c, 59958 km|0.2 s
GW150914 L1-H1 arrival lag, ~0.0069 s
Lorentz factor, γ=1/(√(1-(v2/c2))
group velocity, vg
(0.0069*c)=2068.6 km, (0.0069*[0.67*c])=1385.9 km
c/((0.0069*c)*0.58)=249.88 Hz;
consider error intervals for various published ranges of LIGO remnant spin bounds,
0.72-0.57=0.15, 1/0.15=6.666...
0.71-0.58=0.13
0.72-0.56=0.16
0.72-0.57=0.15, 1/0.15=6.666...
0.71-0.58=0.13
0.72-0.56=0.16
1-(0.13/0.15)=0.1333...
(1/√2)-(1/√3)=0.12975651199
(1/√22 )-(1/√32)=0.1666...
(1/√2)-(1/√3)=0.12975651199
(1/√22 )-(1/√32)=0.1666...
...and maximum SR-permitted range-bound LIGO signal lag
(recall that [(v=0.71 c=√2/2=1/√2)*(γ=1.414...=√2)]=1):
(t=0.01 s)/(γ=1.441|vg=0.72c)=0.00694 s
1/
(t=0.01 s)/(γ=1.44225|vg=0.72059 c)=0.006934 s
log(√φ)/log(√2)= 0.69424191363, 1(/log(√φ)/log( √2))=1.44042009041log(√2)/log(φ)= 0.7202100452, for v|c=0.7202100452, γ=1.44142882.
Schumann resonances are known noise gravitational wave interferometer sources that are associated with false triggers, and have already been represented throughout the literate as a serious impediment to the efficacy of both impulsive and stochastic GW searches/signal discrimination. Lightning activity displays global discharge phase locking, and as such Schumann resonance amplification is directly correlated to thunderstorm discharge, driven by solar wind during magnetospheric mode. For all LIGO-Virgo superevent signal windows, cloud-ground lightning remarkably displays quasiperiodic/near-periodic attentuation-burst phase locking https://fulguritics.blogspot.com/2018/06/continent-wide-blitzortung.html
1. From Magnetism and advanced LIGO (Daniel and Schofield, October 6, 2014) https://dcc.ligo.org/public/0116/P1400210/002/SURF%20Final%20Paper.pdf:
2. From Characterization of transient noise in Advanced LIGO relevant to gravitational wave signal GW150914
https://fulguritics.blogspot.com/2018/06/httpswww.html
4. Internal LIGO report on non-operative magnetometers during GW150914 and LVT/GW151012 arrival times:
https://alog.ligo-la.caltech.edu/aLOG/iframeSrc.php?authExpired=&content=1&step=&callRep=22818&startPage=&preview=&printCall=&callUser=&addCommentTo=&callHelp=&callFileType=#
(recall that [(v=0.71 c=√2/2=1/√2)*(γ=1.414...=√2)]=1):
(t=0.01 s)/(γ=1.441|vg=0.72c)=0.00694 s
1/
(t=0.01 s)/(γ=1.44225|vg=0.72059 c)=0.006934 s
Schumann resonances are known noise gravitational wave interferometer sources that are associated with false triggers, and have already been represented throughout the literate as a serious impediment to the efficacy of both impulsive and stochastic GW searches/signal discrimination. Lightning activity displays global discharge phase locking, and as such Schumann resonance amplification is directly correlated to thunderstorm discharge, driven by solar wind during magnetospheric mode. For all LIGO-Virgo superevent signal windows, cloud-ground lightning remarkably displays quasiperiodic/near-periodic attentuation-burst phase locking https://fulguritics.blogspot.com/2018/06/continent-wide-blitzortung.html
1. From Magnetism and advanced LIGO (Daniel and Schofield, October 6, 2014) https://dcc.ligo.org/public/0116/P1400210/002/SURF%20Final%20Paper.pdf:
"LIGO plans to monitor magnetic fields because they can affect the interferometer’s signals. A magnetic field from a Schumann Resonance can affect both LIGO interferometers in a similar way as a gravitational wave. "
(Abbott et al. 2016)
http://iopscience.iop.org/article/10.1088/0264-9381/33/13/134001:“Potential electromagnetic noise sources include lightning, solar events and solar-wind driven noise, as well as RF communication. If electromagnetic noise were strong enough to affect h(t), it would be witnessed with high SNR by radio receivers and magnetometers.”3. High SNR structured-coherent magnetic coupling in North American ground magnetometer data surrounding GW150914:
https://fulguritics.blogspot.com/2018/06/httpswww.html
4. Internal LIGO report on non-operative magnetometers during GW150914 and LVT/GW151012 arrival times:
https://alog.ligo-la.caltech.edu/aLOG/iframeSrc.php?authExpired=&content=1&step=&callRep=22818&startPage=&preview=&printCall=&callUser=&addCommentTo=&callHelp=&callFileType=#
“12:46, Tuesday 17 November 2015
[… . …]
Magnetometers at End Station VEAs Fixed
I went this morning to investigate the end station VEA magnetometers.
Turns out we left the EY magnetometer off since Sep 12. I turned it on, spectrum looks reasonable now.
At EX I swapped the PSU box from the new model to the old model and two types of noise went away: a comb of lines at 1 and 1.5 Hz and a high frequency slope that I don’t understand. We’ll have to look into this and complain to Bartington about it. I’ve seen this “feature” in other PSUs and I’ve relegated those to EBAY magnetometers, where we don’t have the x100 filter boxes. Spectrum attached. Not sure what the 1-2kHz noise is, maybe the old box is losing it too… Will investigate”
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